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MINIMAL REALIZATIONS OF THE INVERSE OF A POLYNOMIAL MATRIX USING FINITE AND INFINITE JORDAN PAIRS

George F. Fragulis

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Abstract

A simple method is given which uses the notions of finite and infinite Jordan pairs from the theory of operators in such a way to find the minimal realization of the inverse of a given polynomial matrix.An application of the proposed method is to find the generalized state-space system which has as transfer function the inverse of the polynomial matrix.

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A simple method is given which uses the notions of finite and infinite Jordan pairs from the theory of operators in such a way to find the minimal realization of the inverse of a given polynomial matrix.An application of the proposed method is to find the generalized state-space system which has as transfer function the inverse of the polynomial matrix.

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Available abstract

A simple method is given which uses the notions of finite and infinite Jordan pairs from the theory of operators in such a way to find the minimal realization of the inverse of a given polynomial matrix.An application of the proposed method is to find the generalized state-space system which has as transfer function the inverse of the polynomial matrix.

Key concepts: Mathematics, Inverse, Matrix polynomial, Polynomial, Polynomial matrix, Matrix (chemical analysis), Applied mathematics, Algebra over a field

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